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COMEDK · Physics · 19. Current Electricity

If only \(2 \%\) of the main current is to be passed through a galvanometer of resistance \(G\), then the resistance of shunt should be

  1. A \(G / 50\)
  2. B \(G / 49\)
  3. C \(50 G\)
  4. D \(49 G\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(G / 49\)

Step-by-step Solution

Detailed explanation

For shunt resistance connected to galvanometer, current is given by \(I_{g}=\left(\frac{S}{S+G}\right) I\) \(\frac{2}{100} I=\left(\frac{S}{S+G}\right) I\) \(\begin{aligned} \Rightarrow & S+G &=50 S \\ \text { or } & S &=\frac{G}{49} \end{aligned}\)